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Finding the Fourth Proportional to 524,947.14, 787,768.11 and 288,454.50

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Solution

The fourth proportional to 524,947.14, 787,768.11 and 288,454.50 is: 432,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,947.14 : 787,768.11 = 288,454.50 : x
  2. Step 2: Convert to fraction form
    524,947.14/787,768.11 = 288,454.50/x
  3. Step 3: Cross multiply
    524,947.14x = 787,768.11 × 288,454.50
  4. Step 4: Simplify right side
    524,947.14x = 227,235,256,286.00
  5. Step 5: Solve for x
    x = 227,235,256,286.00/524,947.14
  6. Step 6: Final answer
    x = 432,872.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.